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Finding the Fourth Proportional to 2,806.61, 4,209.81 and 1,161.92

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Solution

The fourth proportional to 2,806.61, 4,209.81 and 1,161.92 is: 1,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.61 : 4,209.81 = 1,161.92 : x
  2. Step 2: Convert to fraction form
    2,806.61/4,209.81 = 1,161.92/x
  3. Step 3: Cross multiply
    2,806.61x = 4,209.81 × 1,161.92
  4. Step 4: Simplify right side
    2,806.61x = 4,891,462.44
  5. Step 5: Solve for x
    x = 4,891,462.44/2,806.61
  6. Step 6: Final answer
    x = 1,742.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.